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144401334 = 23721144651
BaseRepresentation
bin10001001101101…
…10001110110110
3101001201100101120
420212312032312
5243431320314
622155004410
73402251100
oct1046661666
9331640346
10144401334
1174568950
1240439706
1323bbb79c
141526c570
15ca258a9
hex89b63b6

144401334 has 48 divisors (see below), whose sum is σ = 366503616. Its totient is φ = 37506000.

The previous prime is 144401333. The next prime is 144401359. The reversal of 144401334 is 433104441.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19092 + ... + 25559.

It is an arithmetic number, because the mean of its divisors is an integer number (7635492).

Almost surely, 2144401334 is an apocalyptic number.

144401334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144401334 is an abundant number, since it is smaller than the sum of its proper divisors (222102282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144401334 is a wasteful number, since it uses less digits than its factorization.

144401334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44681 (or 44674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144401334 is about 12016.7106148064. The cubic root of 144401334 is about 524.6347681968.

Adding to 144401334 its reverse (433104441), we get a palindrome (577505775).

The spelling of 144401334 in words is "one hundred forty-four million, four hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 44651 89302 133953 267906 312557 491161 625114 937671 982322 1473483 1875342 2187899 2946966 3438127 4375798 6563697 6876254 10314381 13127394 20628762 24066889 48133778 72200667 144401334